PSLE
Mrs Ian bought a coat and a necklace at a discount. She spent a total of $66.40 on these two items. She spent $32.80 more on the necklace than on the coat.

1. How much did she spend on the necklace?
2. The total discount given for the two items was $19.60. She was given a 30% discount for the coat. What was the percentage discount given for the necklace?

(a)
Amount spent on the coat = 1 u
Amount spent on the necklace = 1 u + 32.80

Total amount spent on the coat and the necklace
= 1 u + 1 u + 32.80
= 2 u + 32.80

2 u + 32.80 = 66.40
2 u = 66.40 - 32.80
2 u = 33.60

1 u = 33.60 ÷ 2 = 16.80

Amount that Mrs Ian spent on the necklace
= 16.80 + 32.80
= $49.60

(b)

	Coat	Necklace	Total
Original price	100%	$62
Discount	30%  $7.20	$12.40	$19.60
Discounted price	70% $16.80	$49.60	$66.40

Discounted price of the coat
= 100% - 30%
= 70%

70% of the price of the coat = 16.80
1% of the price of the coat = 16.80 ÷ 70
30% of the price of the coat = 16.80 ÷ 70 x 30 = 7.20

Discount given for the necklace
= 19.60 - 7.20
= $12.40

Original price of the necklace
= 49.60 + 12.40
= $62

Percentage discount of the necklace
= ^12.40₆₂ x 100%
= 20%

Answer(s): (a) $49.60; (b) 20%